   Chapter 4.4, Problem 71E

Chapter
Section
Textbook Problem

# The following exercises are intended only for those who have already covered Chapter 6.Evaluate the integral. ∫ ( x 2 + 1 + 1 x 2 + 1 ) d x

To determine

To evaluate:

The integral x2+1+1x2+1 dx

Explanation

1) Concept:

i) The property of integral

fx+gx dx=fx dx+gx dx

ii) Indefinite Integral

xn dx=xn+1n+1+C

1x2+a2 dx=1atan-1xa+C

2) Given:

x2+1+1x2+1 dx

3) Calculation:

By using the property of Integral,

x2+1+1x2+1 dx=x2 dx+1 dx+1x2+1

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